{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "from IPython.display import HTML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "nums = [0,1,0,3,12,0,15,0,0,20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#指针移动可视化\n",
    "def visualize_pointer_movement_with_squares(nums):\n",
    "    original_nums = nums.copy()\n",
    "\n",
    "    def algorithm(nums):\n",
    "        right = 0\n",
    "        left = 0\n",
    "        size = len(nums)\n",
    "        move = []\n",
    "        while right < size:\n",
    "            if nums[right]!=0:\n",
    "                nums[right], nums[left] = nums[left], nums[right]   #左右交换  \n",
    "                left +=1\n",
    "            right +=1\n",
    "            move.append((right, left))\n",
    "        return move\n",
    "\n",
    "    pointer_movements = algorithm(nums.copy())\n",
    "    fig, ax = plt.subplots(figsize=(12, 4))\n",
    "    \n",
    "    for i, num in enumerate(original_nums):\n",
    "        ax.text(i, 0.5, num, ha='center', va='center', fontsize=12)\n",
    "        ax.add_patch(plt.Rectangle((i - 0.5, 0), 1, 1, fill=None, edgecolor='black'))\n",
    "\n",
    "    fast_pointer, = ax.plot([], [], 'r^', label='Fast Pointer', markersize=10)\n",
    "    slow_pointer, = ax.plot([], [], 'bv', label='Slow Pointer', markersize=10)\n",
    "    ax.set_xlim(-0.5, len(nums) - 0.5)\n",
    "    ax.set_ylim(-1, 2)\n",
    "    ax.axis('off')\n",
    "    ax.legend(loc='upper right')\n",
    "\n",
    "    def update(frame):\n",
    "        fast, slow = pointer_movements[frame]\n",
    "        fast_pointer.set_data((fast - 0.5,), (1.5,))\n",
    "        slow_pointer.set_data((slow - 0.5,), (-0.5,))\n",
    "        return fast_pointer, slow_pointer\n",
    "\n",
    "    ani = animation.FuncAnimation(fig, update, frames=len(pointer_movements), interval=800, blit=True)\n",
    "    return HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_imgb7dc9fb26af149d08f12714182d484f4\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_sliderb7dc9fb26af149d08f12714182d484f4\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"animb7dc9fb26af149d08f12714182d484f4.set_frame(parseInt(this.value));\"></input>\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" onclick=\"animb7dc9fb26af149d08f12714182d484f4.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_selectb7dc9fb26af149d08f12714182d484f4\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_b7dc9fb26af149d08f12714182d484f4\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_b7dc9fb26af149d08f12714182d484f4\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_b7dc9fb26af149d08f12714182d484f4\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_b7dc9fb26af149d08f12714182d484f4\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_b7dc9fb26af149d08f12714182d484f4\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_b7dc9fb26af149d08f12714182d484f4\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_imgb7dc9fb26af149d08f12714182d484f4\";\n",
       "    var slider_id = \"_anim_sliderb7dc9fb26af149d08f12714182d484f4\";\n",
       "    var loop_select_id = \"_anim_loop_selectb7dc9fb26af149d08f12714182d484f4\";\n",
       "    var frames = new Array(10);\n",
       "    \n",
       "  frames[0] = \"\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        animb7dc9fb26af149d08f12714182d484f4 = new Animation(frames, img_id, slider_id, 800.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_pointer_movement_with_squares(nums)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
